{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Optimisation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Copyright (C) 2020. Huawei Technologies Co., Ltd. All rights reserved.\n",
    "\n",
    "# This program is free software; you can redistribute it and/or modify it under\n",
    "# the terms of the MIT license.\n",
    "\n",
    "# This program is distributed in the hope that it will be useful, but WITHOUT ANY\n",
    "# WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A\n",
    "# PARTICULAR PURPOSE. See the MIT License for more details.\n",
    "\n",
    "import sys\n",
    "sys.path.append('../')\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import torch\n",
    "from pymoo.factory import get_problem,get_visualization\n",
    "\n",
    "\n",
    "from hebo.optimizers.hebo import HEBO\n",
    "from hebo.optimizers.bo import BO\n",
    "\n",
    "import warnings\n",
    "warnings.filterwarnings(\"ignore\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Demo problem definition\n",
    "\n",
    "We will introduce the optimizer API using branin function defined in [pymoo library](https://pymoo.org/problems/index.html)\n",
    "\n",
    "This is what branin function looks like, it has three local minima"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<pymoo.visualization.fitness_landscape.FitnessLandscape at 0x26304e0ea88>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "problem = get_problem('go-branin01')\n",
    "\n",
    "get_visualization(\"fitness-landscape\", problem, angle=(45, 45), _type=\"contour\").show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Objective function wrapper\n",
    "\n",
    "The branin function is wrapped using `obj(x : pd.DataFrame) -> pd.DataFrame`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def obj(x : pd.DataFrame) -> np.ndarray:\n",
    "    x     = x[['x0','x1']].values\n",
    "    num_x = x.shape[0]\n",
    "    ret   = np.zeros((num_x,1))\n",
    "    for i in range(num_x):\n",
    "        out = {}\n",
    "        try:\n",
    "            problem._evaluate(x[i], out)\n",
    "        except:\n",
    "            problem._evaluate(x[i].reshape(1,-1),out)\n",
    "        ret[i,0] = out['F'][0]\n",
    "    return ret"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Design space definition"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "from hebo.design_space.design_space import DesignSpace\n",
    "space = DesignSpace().parse([\n",
    "    {'name' : 'x0', 'type' : 'num', 'lb' : -5, 'ub' : 10},\n",
    "    {'name' : 'x1', 'type' : 'num', 'lb' : 0,  'ub' : 15}\n",
    "])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## BO loop\n",
    "\n",
    "We compare three BO algorithms:\n",
    "- The basic BO with LCB acquisition\n",
    "- MACE where three acquisition functions are ensembled, with input warping and power transformation\n",
    "- MACE with parallel recommendation\n",
    "\n",
    "We'll run BO with LCB firstly, we can see the interface is very simple"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iter 0, best_y = 152.87\n",
      "Iter 4, best_y = 40.28\n",
      "Iter 8, best_y = 1.95\n",
      "Iter 12, best_y = 0.78\n",
      "Iter 16, best_y = 0.47\n",
      "Iter 20, best_y = 0.42\n",
      "Iter 24, best_y = 0.40\n",
      "Iter 28, best_y = 0.40\n",
      "Iter 32, best_y = 0.40\n",
      "Iter 36, best_y = 0.40\n",
      "Iter 40, best_y = 0.40\n",
      "Iter 44, best_y = 0.40\n",
      "Iter 48, best_y = 0.40\n",
      "Iter 52, best_y = 0.40\n",
      "Iter 56, best_y = 0.40\n",
      "Iter 60, best_y = 0.40\n"
     ]
    }
   ],
   "source": [
    "bo   = BO(space)\n",
    "for i in range(64):\n",
    "    rec_x = bo.suggest()\n",
    "    bo.observe(rec_x, obj(rec_x))\n",
    "    if i % 4 == 0:\n",
    "        print('Iter %d, best_y = %.2f' % (i, bo.y.min()))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We then run the sequential MACE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iter 0, best_y = 24.13\n",
      "Iter 4, best_y = 18.11\n",
      "Iter 8, best_y = 13.77\n",
      "Iter 12, best_y = 1.16\n",
      "Iter 16, best_y = 1.16\n",
      "Iter 20, best_y = 0.46\n",
      "Iter 24, best_y = 0.41\n",
      "Iter 28, best_y = 0.41\n",
      "Iter 32, best_y = 0.41\n",
      "Iter 36, best_y = 0.40\n",
      "Iter 40, best_y = 0.40\n",
      "Iter 44, best_y = 0.40\n",
      "Iter 48, best_y = 0.40\n",
      "Iter 52, best_y = 0.40\n",
      "Iter 56, best_y = 0.40\n",
      "Iter 60, best_y = 0.40\n"
     ]
    }
   ],
   "source": [
    "mace_seq   = HEBO(space, model_name = 'gpy', rand_sample = 4)\n",
    "for i in range(64):\n",
    "    rec_x = mace_seq.suggest(n_suggestions=1)\n",
    "    mace_seq.observe(rec_x, obj(rec_x))\n",
    "    if i % 4 == 0:\n",
    "        print('Iter %d, best_y = %.2f' % (i, mace_seq.y.min()))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally, we run the parallel HEBO, as it would do parallel recommendation, we only run it for 16 iterations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iter 0, best_y = 6.95\n",
      "Iter 1, best_y = 0.96\n",
      "Iter 2, best_y = 0.88\n",
      "Iter 3, best_y = 0.43\n",
      "Iter 4, best_y = 0.40\n",
      "Iter 5, best_y = 0.40\n",
      "Iter 6, best_y = 0.40\n",
      "Iter 7, best_y = 0.40\n",
      "Iter 8, best_y = 0.40\n",
      "Iter 9, best_y = 0.40\n",
      "Iter 10, best_y = 0.40\n",
      "Iter 11, best_y = 0.40\n",
      "Iter 12, best_y = 0.40\n",
      "Iter 13, best_y = 0.40\n",
      "Iter 14, best_y = 0.40\n",
      "Iter 15, best_y = 0.40\n"
     ]
    }
   ],
   "source": [
    "mace_batch = HEBO(space, model_name = 'gpy', rand_sample = 4)\n",
    "for i in range(16):\n",
    "    rec_x = mace_batch.suggest(n_suggestions=8)\n",
    "    mace_batch.observe(rec_x, obj(rec_x))\n",
    "    print('Iter %d, best_y = %.2f' % (i, mace_batch.y.min()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "conv_mace_batch = np.minimum.accumulate(mace_batch.y)\n",
    "conv_mace_seq   = np.minimum.accumulate(mace_seq.y)\n",
    "conv_bo_seq     = np.minimum.accumulate(bo.y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We plot the converge below, we can see it seems that the LCB converges slightly faster than MACE, while batched MACE used most function evaluations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x274a6946908>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (8,6))\n",
    "plt.semilogy(conv_mace_batch - problem.ideal_point(), 'x-',label = 'MACE, Parallel,Batch = 8')\n",
    "plt.semilogy(conv_mace_seq   - problem.ideal_point(), 'x-',label = 'MACE, Sequential')\n",
    "plt.semilogy(conv_bo_seq     - problem.ideal_point(), 'x-',label = 'BO, LCB')\n",
    "\n",
    "plt.xlabel('Evaluation')\n",
    "plt.ylabel('Regret')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Batched MACE used most function evaluations because it recommend eight points per iterations, we can also plot the converge against **iterations** instead of **evaluations**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x274a694f508>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (8,6))\n",
    "plt.semilogy(conv_mace_batch[::8] - problem.ideal_point(), 'x-',label = 'MACE, Parallel,Batch = 8')\n",
    "plt.semilogy(conv_mace_seq   - problem.ideal_point(), 'x-',label = 'MACE, Sequential')\n",
    "plt.semilogy(conv_bo_seq     - problem.ideal_point(), 'x-',label = 'BO, LCB')\n",
    "\n",
    "plt.xlabel('Iterations')\n",
    "plt.ylabel('Regret')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that parallel MACE converges much faster"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
